Search a number
-
+
56316064 = 257713541
BaseRepresentation
bin1101011011010…
…1000010100000
310220222011010011
43112311002200
5103404103224
65331014304
71252451530
oct326650240
9126864104
1056316064
1129875102
1216a3a394
13b88a21c
14769d4c0
154e26394
hex35b50a0

56316064 has 48 divisors (see below), whose sum is σ = 128532096. Its totient is φ = 23788800.

The previous prime is 56316059. The next prime is 56316077. The reversal of 56316064 is 46061365.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14134 + ... + 17674.

It is an arithmetic number, because the mean of its divisors is an integer number (2677752).

Almost surely, 256316064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64266048).

56316064 is an abundant number, since it is smaller than the sum of its proper divisors (72216032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56316064 is a wasteful number, since it uses less digits than its factorization.

56316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 56316064 is about 7504.4029742545. The cubic root of 56316064 is about 383.3046588927.

The spelling of 56316064 in words is "fifty-six million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3541 3976 7082 7952 14164 15904 24787 28328 49574 56656 99148 113312 198296 251411 396592 502822 793184 1005644 1759877 2011288 3519754 4022576 7039508 8045152 14079016 28158032 56316064